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Klappentext

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Inhalt

I. Complete Minimal Surfaces in Rn.- Intrinsic Surface Theory.- Immersed Surfaces in Euclidean Space.- Minimal Surfaces and the Gauss Map.- Algebraic Gauss Maps.- Examples.- Minimal Immersions of Punctured Compact Riemann Surfaces.- The Bernstein-Osserman Theorem.- II. Compact Minimal Surfaces in Sn.- Moving Frames.- Minimal Two-Spheres in Sn.- The Twistor Fibration.- Minimal Surfaces in ?P1.- Examples.- III. Holomorphic Curves and Minimal Surfaces in CPn.- Hermitian Geometry and Singular Metrics on a Riemann Surface.- Holomorphic Curves in ?Pn.- Minimal Surfaces in a Kahler Manifold.- Minimal Surfaces Associated to a Holomorphic Curve.- IV. Holomorphic Curves and Minimal Surfaces in the Quadric.- Immersed Holomorphic Curves in the Two-Quadric.- Holomorphic Curves in Q2.- Horizontal Holomorphic Curves in SO(m)-Flag Manifolds.- Associated Minimal Surfaces.- Minimal Surfaces in the Quaternionic Projective Space.- V. The Twistor Method.- The Hermitian Symmetric Space SO(2n)/U(m).- The Orthogonal Twistor Bundle.- Applications: Isotropic Surfaces and Minimal Surfaces.- Self-Duality in Riemannian Four-Manifolds.